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Finding the Fourth Proportional to 101,101.14, 151,651.62 and 34,541.76

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Solution

The fourth proportional to 101,101.14, 151,651.62 and 34,541.76 is: 51,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,101.14 : 151,651.62 = 34,541.76 : x
  2. Step 2: Convert to fraction form
    101,101.14/151,651.62 = 34,541.76/x
  3. Step 3: Cross multiply
    101,101.14x = 151,651.62 × 34,541.76
  4. Step 4: Simplify right side
    101,101.14x = 5,238,313,861.65
  5. Step 5: Solve for x
    x = 5,238,313,861.65/101,101.14
  6. Step 6: Final answer
    x = 51,812.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.